Question
A bird flies at a speed of 15 miles per hour. The bird has already flown 28 miles. After how many additional hours will the bird have flown more than 80 miles?
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4
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6
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3
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5
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4
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6
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3
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5
Answers
GPT-4o mini
To find out how many additional hours the bird must fly to have flown more than 80 miles, we can follow these steps:
1. **Determine the total distance needed to exceed 80 miles**:
The bird has already flown 28 miles. Thus, the additional distance needed to exceed 80 miles is:
\[
80 - 28 = 52 \text{ miles}
\]
2. **Use the bird's speed to calculate the time required to fly the additional distance**:
The bird flies at a speed of 15 miles per hour. To find out how many hours it will take to fly 52 miles, we use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{52 \text{ miles}}{15 \text{ miles per hour}} \approx 3.47 \text{ hours}
\]
3. **Determine how many additional hours are needed to exceed 80 miles**:
Since we want to know how many additional hours will allow the bird to have flown **more than** 80 miles, we round up from 3.47 hours to the nearest whole number (since the bird cannot fly for a fraction of an hour). Thus, the answer is:
\[
4 \text{ hours}
\]
Therefore, the answer is **4**.
1. **Determine the total distance needed to exceed 80 miles**:
The bird has already flown 28 miles. Thus, the additional distance needed to exceed 80 miles is:
\[
80 - 28 = 52 \text{ miles}
\]
2. **Use the bird's speed to calculate the time required to fly the additional distance**:
The bird flies at a speed of 15 miles per hour. To find out how many hours it will take to fly 52 miles, we use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{52 \text{ miles}}{15 \text{ miles per hour}} \approx 3.47 \text{ hours}
\]
3. **Determine how many additional hours are needed to exceed 80 miles**:
Since we want to know how many additional hours will allow the bird to have flown **more than** 80 miles, we round up from 3.47 hours to the nearest whole number (since the bird cannot fly for a fraction of an hour). Thus, the answer is:
\[
4 \text{ hours}
\]
Therefore, the answer is **4**.